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Wyszukujesz frazę "strain-gradient theory" wg kryterium: Temat


Wyświetlanie 1-4 z 4
Tytuł:
On the nonlocal interaction range for stability of nanobeams with nonlinear distribution of material properties
Autorzy:
Jankowski, Piotr
Tematy:
nanobeam
FGM
nonlocal strain gradient theory
buckling
piezoelectric effect
Pokaż więcej
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Powiązania:
https://bibliotekanauki.pl/articles/2105997.pdf  Link otwiera się w nowym oknie
Opis:
The present study analyses the range of nonlocal parameters’ interaction on the buckling behaviour of nanobeam. The intelligent nonhomogeneous nanobeam is modelled as a symmetric functionally graded (FG) core with porosity cause nonlinear distribution of material parameters. The orthotropic face-sheets are made of piezoelectric materials. These kinds of structures are widely used in nanoelectromechanical systems (NEMS). The nanostructure model satisfies the assumptions of Reddy third-order beam theory and higher-order nonlocal elasticity and strain gradient theory. This approach allows to predict appropriate mechanical response of the nanobeam regardless of thin or thick structure, in addition to including nano-sized effects as hardening and softening. The analysis provided in the present study focuses on differences in results for nanobeam stability obtained based on classical and nonlocal theories. The study includes the effect of diverse size-dependent parameters, nanobeams’ length-to-thickness ratio and distributions of porosity and material properties through the core thickness as well as external electro-mechanical loading. The results show a dependence of nonlocal interaction range on geometrical and material parameters of nanobeam. The investigation undertaken in the present study provides an interpretation for this phenomenon, and thus aids in increasing awareness of nanoscale structures’ mechanical behaviour.
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Non-simple elastic materials with double porosity structure
Autorzy:
De Cicco, S.
Tematy:
strain-gradient theory
porous solids
chiral materials
torsion of a circular cylinder
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Wydawca:
Instytut Podstawowych Problemów Techniki PAN
Powiązania:
https://bibliotekanauki.pl/articles/38695685.pdf  Link otwiera się w nowym oknie
Opis:
This paper is concerned with a strain gradient theory of elastic materials that have a double porosity structure. Firstly, we present the basic equations and the boundary conditions of the nonlinear theory. Then, we derive the equations of the linear theory and present the constitutive equations for chiral materials. The theory is applied to study the deformation of a chiral cylinder. The materials with a double porosity are of interest in geophysics and in mechanics of bone.
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Thermal buckling and free vibration of Euler–Bernoulli FG nanobeams based on the higher-order nonlocal strain gradient theory
Autorzy:
Janevski, G.
Despenić, N.
Pavlović, I.
Tematy:
Euler–Bernoulli beam theory
thermal buckling
vibration
functionally graded materials
higher-order strain gradient theory
Pokaż więcej
Wydawca:
Instytut Podstawowych Problemów Techniki PAN
Powiązania:
https://bibliotekanauki.pl/articles/38444568.pdf  Link otwiera się w nowym oknie
Opis:
A size-dependent Euler–Bernoulli beam model is derived within the framework of the higher-order nonlocal strain gradient theory. Nonlocal equations of motion are derived by applying Hamilton’s principle and solved with an analytical solution. The solution is obtained using the Navier solution procedure. In the case of simply supported boundary conditions, the analytical solutions of natural frequencies and critical buckling temperature for free vibration problems are obtained. The paper investigates the thermal effects on buckling and free vibrational characteristics of functionally graded size-dependent nanobeams subjected to various types of thermal loading. The influence of higher-order and lower-order nonlocal parameters and strain gradient scale on buckling and vibration are investigated for various thermal conditions. The obtained results are compared with previous research.
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Nonlocal state-space strain gradient approach to the vibration of piezoelectric functionally graded nanobeam
Autorzy:
Selvamani, Rajendran
Loganathan, Rubine
Ebrahimi, Farzad
Tematy:
wave propagation
functionally graded materials
FGMs
nonlocal strain gradient
state-space theory
piezoelectric nanobeam.
Pokaż więcej
Wydawca:
Instytut Podstawowych Problemów Techniki PAN
Powiązania:
https://bibliotekanauki.pl/articles/38888768.pdf  Link otwiera się w nowym oknie
Opis:
In this work, the state-space nonlocal strain gradient theory is used for the vibration analysis of piezoelectric functionally graded material (FGM) nanobeam. Power law relations are used to describe the computing analysis of FGM constituent properties. The refined higherorder beam theory and Hamilton’s principle are used to obtain the equations of motion of the piezoelectric nanobeam. Besides, the governing equations of the piezoelectric nanobeam are extracted by the developed nonlocal state-space theory, and the analytical wave dispersion method is used to solve wave propagation problems. The real and imaginary solutions for wave frequency, loss factor and wave number are obtained and presented in graphs.
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-4 z 4

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